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Finding the Fourth Proportional to 1,693.42, 2,535.55 and 1,106.96

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Solution

The fourth proportional to 1,693.42, 2,535.55 and 1,106.96 is: 1,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.42 : 2,535.55 = 1,106.96 : x
  2. Step 2: Convert to fraction form
    1,693.42/2,535.55 = 1,106.96/x
  3. Step 3: Cross multiply
    1,693.42x = 2,535.55 × 1,106.96
  4. Step 4: Simplify right side
    1,693.42x = 2,806,752.43
  5. Step 5: Solve for x
    x = 2,806,752.43/1,693.42
  6. Step 6: Final answer
    x = 1,657.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.